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madreJ [45]
3 years ago
10

A coffee distributor needs to mix a(n) House coffee blend that normally sells for $10.50 per pound with a Kenya coffee blend tha

t normally sells for $12.80 per pound to create 40 pounds of a coffee that can sell for $10.67 per pound. How many pounds of each kind of coffee should they mix?
Answer: They must mix
______pounds of the House Blend
______pounds of the Kenya Blend.
Round your answers to the nearest whole number of pounds.
Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

They must mix

37 pounds of the House Blend

3 pounds of the Kenya Blend.

Step-by-step explanation:

Let 'x' be House coffe and 'y' be Kenya Coffee. Then:

10.50x + 12.80y = 10.67(40)

Also, we knw that:

x + y = 40

Solving the system of equations above, we have that:

x ≈37.0435 ≈ 37 pounds

y ≈2.95652 ≈ 3 pounds

They must mix

37 pounds of the House Blend

3 pounds of the Kenya Blend.

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icang [17]

Answer: the mixture contained 15 pounds of white chocolate and 5 pounds of dark chocolate.

Step-by-step explanation:

Let x represent the number of pounds of white chocolate in the candy shack mixture.

Let y represent the number of pounds of dark chocolate in the candy shack mixture.

The candy shack has 20 lb of mixed white and dark chocolate. This means that

x + y = 20

The 20lb mixture is worth $7.50 per pound. This means that the total cost of the mixture is

20 × 7.50 = $150

White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. This means that

8x + 6y = 150 - - - - - - - - - - - - - -1

Substituting x = 20 - y into equation 1, it becomes

8(20 - y) + 6y = 150

160 - 8y + 6y = 150

- 8y + 6y = 150 - 160

- 2y = - 10

y = - 10/ - 2

y = 5

x = 20 - y = 20 - 5

x = 15

5 0
4 years ago
Anna hiked 95⁄8 miles in 23⁄4 hours. How fast did she walk overall? A. 31⁄4 miles per hour B. 35⁄8 miles per hour C. 31⁄2 miles
Pani-rosa [81]

Answer:

C. 3 1/2 miles per hour

Step-by-step explanation:

I just converted the fractions to decimal form.

5/8 = 0.625           9 + 0.625   = 9.625

3/4 = 0.75             2 + 0.75     = 2.75

Now divide the 2 numbers:

9.625 / 2.75 = 3.5

Finally, convert the decimal back to a fraction:

3.5 = 3 1/2

Hope this helps!


6 0
3 years ago
Read 2 more answers
Mt. McKinley, which is the highest elevation in North America, is 20,320 feet above sea level. Death Valley, which is the lowest
Llana [10]

Answer:

<u>20,602 feet</u> is the difference in height between the top of Mt. McKinley and the bottom of the Death Valley.

Step-by-step explanation:

Given:

Mt. McKinley, which is the highest elevation in North America, is 20,320 feet above sea level.

Death Valley, which is the lowest elevation in North America, is 282 feet below sea level.

Now, to find the difference in height between the top of Mt. McKinley and the bottom of the death valley.

<em>Height of Mt. McKinley above sea level = 20,320 feet.</em>

<em>Height of Death Valley below sea level = 282 feet.</em>

Now, to get the difference in height between the top of Mt. McKinley and the bottom of the Death Valley by adding both the heights:

20320+282

=20602\ feet.

Therefore, 20,602 feet is the difference in height between the top of Mt. McKinley and the bottom of the Death Valley.

5 0
3 years ago
If x + 3 = 9 then x =​
alekssr [168]

Answer:

x = 6

Step-by-step explanation:

9 - 3 = 6, x = 6

6 0
3 years ago
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Mademuasel [1]

9514 1404 393

Answer:

  5 + (-2)

Step-by-step explanation:

starting with: 5 - 2

step 1: 5 + ( )

step 2: 5 + (-2)

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